Finding the Third Proportional to 144,636 and 314,976

Step by Step Solution

1. Step 1: Write the proportion equation
   144,636 : 314,976 = 314,976 : x
2. Step 2: Convert to fraction form
   144,636/314,976 = 314,976/x
3. Step 3: Cross multiply
   144,636x = 314,976 × 314,976
4. Step 4: Simplify right side
   144,636x = 99,209,880,576
5. Step 5: Solve for x
   x = 99,209,880,576/144,636
6. Step 6: Final answer
   x = 685,927.99